Question

Find the probability for 0.79

The mortality rate of COVID-19 can be estimated by taking the ratio of number of coronavirus deaths to the total number of infected people. The mortality rate in KSA is currently estimated at 0.09 according to the available records. How many total records of corona infected people should be analyzed (i.e. how large a sample -n is required) if we want to be 90% confident that the mortality rate estimate is within 0.0049 of the true COVID-19 mortality rate value?

Answer 1

Solution :

Given that,

= 0.09

1 - = 1 - 0.09 = 0.91

margin of error = E = 0.0049

At 90% confidence level

= 1 - 0.90 = 0.10

/2 =0.05

Z/2 = 1.645 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.645 / 0.0049)2 * 0.09 * 0.91

=9230.46

Sample size = 9231